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Algebraic Geodesy and Geoinformatics

Authors: Awange, J., Grafarend, E.W., Palancz, B., Zaletnyik, P.

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  • Simplifies algebraic notions with examples from the fields of Geodesy and Geoinformatics in a simple and understandable way
  • Updated throughout with latest methods and their extensions to deliver a state-of-the-art toolbook
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eBook $209.00
price for USA in USD (gross)
  • ISBN 978-3-642-12124-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $269.00
price for USA in USD
  • ISBN 978-3-642-43113-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

The book presents modern and efficient methods for solving Geodetic and Geoinformatics algebraic problems. Numerous examples are illustrated with Mathematica using the computer algebra techniques of Ring, Polynomials, Groebner basis, Resultants (including Dixon resultants), Gauss-Jacobi combinatorial and Procrustes algorithms, as well as homotopy methods. While these problems are traditionally solved by approximate methods, this book presents alternative algebraic techniques based on computer algebra tools. ¬ This new approach meets such modern challenges as resection by laser techniques, solution of orientation in Robotics, transformation and bundle block adjustment in Geoinformatics, densification of Engineering networks, analytical solution for GNSS-meteorology and many other problems. For Mathematicians, the book provides some practical examples of the application of abstract algebra and multidimensional scaling.

Reviews

From the reviews of the second edition:

“I compliment the authors on this book because it brings together mathematical methods for the solution of multi-variable polynomial equations that are hardly covered side by side in any ordinary mathematical book: The book explains both algebraic ("exact") and numerical ("approximate") methods. It also points to the recent combination of algebraic and numerical methods ("hybrid" methods), which is currently one of the most promising directions in the area of computer mathematics. Prof. Dr.phil. Dr.h.c.mult. Bruno Buchberger, Professor of Computer Mathematics, and Head of Softwarepark Hagenberg. … As the person responsible for Mathematica's GroebnerBasis and NSolve implementations, I am delighted to see them put to such practical use. It is, moreover, a pleasure to see methods from an abstract branch of mathematics come into play in attacking problems from a very important branch of technology.” Daniel Lichtblau, Wolfram Research.

“The book consists of the two parts. In the first part, the authors give a review of some known results in linear algebra and numerical methods which are used in the second part. The second part is the basic in the book. … Each theoretical statement given in the book is accompanied with many careful neat examples. A rich bibliography envelopes all basic directions in algebraic geodesy and geoinformatics.”­­­ (I. V. Boikov, Zentralblatt MATH, Vol. 1197, 2010)


Table of contents (17 chapters)

Table of contents (17 chapters)

Buy this book

eBook $209.00
price for USA in USD (gross)
  • ISBN 978-3-642-12124-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $269.00
price for USA in USD
  • ISBN 978-3-642-43113-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Algebraic Geodesy and Geoinformatics
Authors
Copyright
2010
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-12124-1
DOI
10.1007/978-3-642-12124-1
Softcover ISBN
978-3-642-43113-5
Edition Number
2
Number of Pages
XVIII, 377
Topics